for any Borel set \(E\subseteq K\) , where \(S_i\mu (E)=\mu (S_i^{-1}(E))\)  is the pushforward of \(\mu \)  by \(S_i\) .
We say that \(\mu \)  is the self-similar measure associated with the WIFS.
We refer the reader to the book of Falconer [1]} for details concerning the existence and uniqueness of these objects.
